Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/49337
Authors: 
Dette, Holger
Martinez Lopez, Ignacio
Ortiz Rodriguez, Isabel M.
Pepelyshev, Andrey
Year of Publication: 
2004
Series/Report no.: 
Technical Report // Universität Dortmund, SFB 475 Komplexitätsreduktion in Multivariaten Datenstrukturen 2004,08
Abstract: 
In this paper robust and efficient designs are derived for several exponential decay models. These models are widely used in chemistry, pharmacokinetics or microbiology. We propose a maximin approach, which determines the optimal design such that a minimum of the D-efficiencies (taken over a certain range for the nonlinear parameters) becomes maximal. Analytic solutions are derived if optimization is performed in the class of minimal supported designs. In general the optimal designs with respect to the maximin criterion have to be determined numerically and some properties of these designs are also studied.
Subjects: 
exponential regression model
D-optimal design
robust design
maximin design
pharmacokinetics
microbiology
Document Type: 
Working Paper

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